Calculus Complexities - Intermediate

Quiz

Calculus is the mathematical study of change, through the ideas of infinite series. It is developed by working with the infinitesimal, which is a really really small quantity. From there, we develop the idea of a Epsilon-Delta Definition of a Limit, which allows us to rigorously explain why a sequence or function tends to a particular unique value.

Note: Since we are working complex exponentiation, there are actually multiple values that \(i^i \) can take. In a similar manner to the above derivation, these values are all of the form \( e ^ { - ( 2k+1) \pi / 2 } \). Likewise, these are real valued, and are approximately \( 0.2078 \times 2^{k \pi } \).